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Simplifying (-1 + 4i) + (-9 + -2i) = 0 Remove parenthesis around (-1 + 4i) -1 + 4i + (-9 + -2i) = 0 Remove parenthesis around (-9 + -2i) -1 + 4i + -9 + -2i = 0 Reorder the terms: -1 + -9 + 4i + -2i = 0 Combine like terms: -1 + -9 = -10 -10 + 4i + -2i = 0 Combine like terms: 4i + -2i = 2i -10 + 2i = 0 Solving -10 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2i = 0 + 10 2i = 0 + 10 Combine like terms: 0 + 10 = 10 2i = 10 Divide each side by '2'. i = 5 Simplifying i = 5
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